Volume of Cube changing with respect to time.

[A_Munk3y]

Homework Statement

The volume V of a cube with sides of length x in. is changing with respect to time. At a certain instant of time, the sides of the cube are 5 in. long and increasing at the rate of 0.1 in./sec. How fast is the volume of the cube changing at that instant of time?

The Attempt at a Solution

dv/dt = dx/dt*3x²
dx/dt=0.1 x=5
dv/dt=0.1(3*5²)=7.5 cu in/sec

am i correct in my answer?

 

[Inferior89]

Looks right.

 

[A_Munk3y]

thanks! :)